MCAT · Practice Sheet 23

1. 1.

   Chemistry

   A solution is made by dissolving 19 g of solute in 92 g of solvent. Find the mass percentage of the solute.

   Formula:Mass Percentage

   $\%\,\text{mass} = \dfrac{\text{solute}}{\text{solution}}\times 100$

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2. 2.

   Physics

   Find the density of an object with mass 169 g and volume 16 cm³.

   Formula:Density

   $\rho = \dfrac{m}{V}$

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3. 3.

   Chemistry

   How many moles are present in 18 g of water (H₂O) (molar mass = 18 g/mol)?

   Formula:Number of Moles

   $n = \dfrac{m}{M}$

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4. 4.

   Physics

   A projectile is launched at 45 m/s at 60° to the horizontal. Find its range (g = 9.8 m/s²).

   Formula:Projectile Range

   $R = \dfrac{u^{2}\sin 2\theta}{g}$

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5. 5.

   Biology

   In a population at Hardy–Weinberg equilibrium, the recessive allele frequency q = 0.2. Find the dominant allele frequency p and the percentage of heterozygous carriers.

   Formula:Hardy–Weinberg Equilibrium

   $p + q = 1,\;\; 2pq = \text{carriers}$

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6. 6.

   Physics

   A projectile is launched at 48 m/s at 60° to the horizontal. Find its range (g = 9.8 m/s²).

   Formula:Projectile Range

   $R = \dfrac{u^{2}\sin 2\theta}{g}$

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7. 7.

   Biology

   In a population at Hardy–Weinberg equilibrium, the recessive allele frequency q = 0.3. Find the dominant allele frequency p and the percentage of heterozygous carriers.

   Formula:Hardy–Weinberg Equilibrium

   $p + q = 1,\;\; 2pq = \text{carriers}$

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8. 8.

   Physics

   A constant force of 142 N moves an object 15 m in the direction of the force. Calculate the work done.

   Formula:Work Done

   $W = F\,d$

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9. 9.

   Chemistry

   63 mL of a 2 M solution is diluted to 125 mL. Find the new concentration.

   Formula:Dilution

   $M_1V_1 = M_2V_2$

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10. 10.

    Physics

    A force of 923 N acts on an area of 30 m². Find the pressure.

    Formula:Pressure

    $P = \dfrac{F}{A}$

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11. 11.

    Physics

    Find the kinetic energy of a 19 kg object moving at 14 m/s.

    Formula:Kinetic Energy

    $KE = \tfrac{1}{2}mv^{2}$

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12. 12.

    Physics

    Find the density of an object with mass 197 g and volume 35 cm³.

    Formula:Density

    $\rho = \dfrac{m}{V}$

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13. 13.

    Physics

    A body moving at 1 m/s accelerates at 8 m/s² for 5 s. Find the distance travelled.

    Formula:Equation of Motion (s = ut + ½at²)

    $s = ut + \tfrac{1}{2}at^{2}$

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14. 14.

    Physics

    Find the density of an object with mass 417 g and volume 25 cm³.

    Formula:Density

    $\rho = \dfrac{m}{V}$

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15. 15.

    Physics

    If 2,248 J of work is done in 47 s, find the power.

    Formula:Power

    $P = \dfrac{W}{t}$

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16. 16.

    Chemistry

    Find the pH of a solution with [H⁺] = 2×10⁻2 mol/L.

    Formula:pH of a Solution

    $pH = -\log_{10}[H^{+}]$

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17. 17.

    Physics

    An object starts at 9 m/s and accelerates at 2 m/s² for 11 s. Find its final velocity.

    Formula:Equation of Motion (v = u + at)

    $v = u + at$

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18. 18.

    Physics

    If 1,636 J of work is done in 19 s, find the power.

    Formula:Power

    $P = \dfrac{W}{t}$

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19. 19.

    Chemistry

    A solution is made by dissolving 50 g of solute in 156 g of solvent. Find the mass percentage of the solute.

    Formula:Mass Percentage

    $\%\,\text{mass} = \dfrac{\text{solute}}{\text{solution}}\times 100$

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20. 20.

    Chemistry

    Find the molarity of a solution containing 1 mol of solute in 4 L of solution.

    Formula:Molarity

    $M = \dfrac{n}{V}$

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